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Finding the Fourth Proportional to 394.50, 544.46 and 284.34

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Solution

The fourth proportional to 394.50, 544.46 and 284.34 is: 392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.50 : 544.46 = 284.34 : x
  2. Step 2: Convert to fraction form
    394.50/544.46 = 284.34/x
  3. Step 3: Cross multiply
    394.50x = 544.46 × 284.34
  4. Step 4: Simplify right side
    394.50x = 154,811.76
  5. Step 5: Solve for x
    x = 154,811.76/394.50
  6. Step 6: Final answer
    x = 392.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.